Solve 2tan60^circ+cos30^circ-sin60^circ-sin30

$$2 \tan 60 ^ { \circ } + \cos 30 ^ { \circ } - \sin 60 ^ { \circ } - \sin 30$$

Evaluate

$$2\sqrt{3}-\frac{1}{2}\approx 2.964101615$$

Solution Steps

Get the value of \tan(60) from trigonometric values table.

$$2\sqrt{3}+\cos(30)-\sin(60)-\sin(30)$$

Get the value of \cos(30) from trigonometric values table.

$$2\sqrt{3}+\frac{\sqrt{3}}{2}-\sin(60)-\sin(30)$$

Combine 2\sqrt{3} and \frac{\sqrt{3}}{2} to get \frac{5}{2}\sqrt{3}.

$$\frac{5}{2}\sqrt{3}-\sin(60)-\sin(30)$$

Get the value of \sin(60) from trigonometric values table.

$$\frac{5}{2}\sqrt{3}-\frac{\sqrt{3}}{2}-\sin(30)$$

Combine \frac{5}{2}\sqrt{3} and -\frac{\sqrt{3}}{2} to get 2\sqrt{3}.

$$2\sqrt{3}-\sin(30)$$

Get the value of \sin(30) from trigonometric values table.

$$2\sqrt{3}-\frac{1}{2}$$